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- W2106520081 abstract "Explicit expressions of Green’s function and its derivative for three-dimensional infinite solids are presented in this paper. The medium is allowed to exhibit a fully magneto-electro-elastic (MEE) coupling and general anisotropic behaviour. In particular, new explicit expressions for the first-order derivative of Green’s function are proposed. The derivation combines extended Stroh formalism, Radon transform and Cauchy’s residue theory. In order to cover mathematical degenerate and non-degenerate materials in the Stroh formalism context, a multiple residue scheme is performed. Expressions are explicit in terms of Stroh’s eigenvalues, this being a feature of special interest in numerical applications such as boundary element methods. As a particular case, simplifications for MEE materials with transversely isotropic symmetry are derived. Details on the implementation and numerical stability of the proposed solutions for degenerate cases are studied." @default.
- W2106520081 created "2016-06-24" @default.
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- W2106520081 date "2009-10-29" @default.
- W2106520081 modified "2023-10-02" @default.
- W2106520081 title "Three-dimensional Green's function and its derivative for materials with general anisotropic magneto-electro-elastic coupling" @default.
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- W2106520081 doi "https://doi.org/10.1098/rspa.2009.0389" @default.
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